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Mathematics · 2024 · 2 marks
Inverse Trigonometric FunctionsBasic Concepts of Inverse Trigonometric Functions2 marksApplyvery short answer
CBSE 2024 · Region 5 · Set 2 · Q21
If a = sin^-1((√ 2)/2)+ cos^-1(-1/2) and b = tan^-1(√ 3 )- cot^-1(-1/(√ 3)) then find the value of a + b.
If $\displaystyle \mathrm{a}=\sin ^{-1}\left(\frac{\sqrt{2}}{2}\right)+\cos ^{-1}\left(-\frac{1}{2}\right)$ and $\displaystyle \mathrm{b}=\tan ^{-1}(\sqrt{3})-\cot ^{-1}\left(-\frac{1}{\sqrt{3}}\right)$ then find the value of $\displaystyle \mathrm{a}+\mathrm{b}$.
Marking-scheme solution
$$\begin{aligned}
& \mathrm{a}=\frac{\pi}{4}+\frac{2 \pi}{3}, \mathrm{b}=\frac{\pi}{3}-\frac{2 \pi}{3} \\
& \therefore \mathrm{a}+\mathrm{b}=\frac{7 \pi}{12}
\end{aligned}
$$
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CBSE Class 12 Mathematics past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.